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Simplifying 0.5x + 3.6 = 4.2 + -1.5x Reorder the terms: 3.6 + 0.5x = 4.2 + -1.5x Solving 3.6 + 0.5x = 4.2 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. 3.6 + 0.5x + 1.5x = 4.2 + -1.5x + 1.5x Combine like terms: 0.5x + 1.5x = 2x 3.6 + 2x = 4.2 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 3.6 + 2x = 4.2 + 0.0 3.6 + 2x = 4.2 Add '-3.6' to each side of the equation. 3.6 + -3.6 + 2x = 4.2 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 2x = 4.2 + -3.6 2x = 4.2 + -3.6 Combine like terms: 4.2 + -3.6 = 0.6 2x = 0.6 Divide each side by '2'. x = 0.3 Simplifying x = 0.3
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